4982842884096 has 1728 divisors, whose sum is σ = 19409811323760. Its totient is φ = 1264146186240.

The previous prime is 4982842884077. The next prime is 4982842884113. The reversal of 4982842884096 is 6904882482894.

4982842884096 is a `hidden beast` number, since 4 + 98 + 28 + 428 + 8 + 4 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×4982842884096² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 115880067051 + ... + 115880067093.

Almost surely, 2^{4982842884096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4982842884096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9704905661880).

4982842884096 is an abundant number, since it is smaller than the sum of its proper divisors (14426968439664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4982842884096 is an frugal number, since it uses more digits than its factorization.

4982842884096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 509607936, while the sum is 72.

It can be divided in two parts, 49828 and 42884096, that added together give a palindrome (42933924).

The spelling of 4982842884096 in words is "four trillion, nine hundred eighty-two billion, eight hundred forty-two million, eight hundred eighty-four thousand, ninety-six".